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Finding the Third Proportional to 144,945.75 and 311,317.50

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Solution

The third proportional to 144,945.75 and 311,317.50 is: 668,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,945.75 : 311,317.50 = 311,317.50 : x
  2. Step 2: Convert to fraction form
    144,945.75/311,317.50 = 311,317.50/x
  3. Step 3: Cross multiply
    144,945.75x = 311,317.50 × 311,317.50
  4. Step 4: Simplify right side
    144,945.75x = 96,918,585,806.25
  5. Step 5: Solve for x
    x = 96,918,585,806.25/144,945.75
  6. Step 6: Final answer
    x = 668,654.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.